The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3 24  0 21 24  9 21  6  9 12  6  9  0 12 21 18
 0  0  9  9 18 18 18  9  0  9  0  9  0 18  9 18  0

generates a code of length 17 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+10x^30+126x^32+42x^33+324x^34+180x^35+14x^36+18x^38+12x^39+2x^48

The gray image is a code over GF(3) with n=153, k=6 and d=90.
This code was found by Heurico 1.16 in 0.0018 seconds.